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99768660 = 223512713093
BaseRepresentation
bin1011111001001…
…01100101010100
320221201202212120
411330211211110
5201020044120
613522215540
72321006505
oct574454524
9227652776
1099768660
1151353742
12294b45b0
1317892414
14d370bac
158b5b140
hex5f25954

99768660 has 48 divisors (see below), whose sum is σ = 281573376. Its totient is φ = 26393472.

The previous prime is 99768649. The next prime is 99768661. The reversal of 99768660 is 6686799.

It is a happy number.

It is a super-3 number, since 3×997686603 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99768661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074 + ... + 14166.

It is an arithmetic number, because the mean of its divisors is an integer number (5866112).

Almost surely, 299768660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99768660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140786688).

99768660 is an abundant number, since it is smaller than the sum of its proper divisors (181804716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99768660 is a wasteful number, since it uses less digits than its factorization.

99768660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13232 (or 13230 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 99768660 is about 9988.4263024763. The cubic root of 99768660 is about 463.8006786086.

The spelling of 99768660 in words is "ninety-nine million, seven hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 13093 26186 39279 52372 65465 78558 130930 157116 196395 261860 392790 785580 1662811 3325622 4988433 6651244 8314055 9976866 16628110 19953732 24942165 33256220 49884330 99768660